| 具脉冲出生的Leslie-Gower捕食者-食饵系统的动力学分析 |
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| 引用本文： | 刘开源.具脉冲出生的Leslie-Gower捕食者-食饵系统的动力学分析[J].生物数学学报,2008,23(3):390-398. |
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| 作者姓名： | 刘开源 |
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| 作者单位： | 大连理工大学,应用数学系,辽宁,大连,116024;鞍山师范学院,数学系,辽宁,鞍山,114007 |
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| 摘 要： | 研究了一个具有脉冲出生的Leslie-Gower捕食者一食饵系统的动力学性质．利用频闪映射。得到了带有Ricker和Beverton-Holt函数的脉冲系统准确的周期解．通过Floquet定理和脉冲比较定理，讨论了该系统的灭绝和持久生存．最后，数值分析了以b（p）为分支参数的分支图，得到的结论是脉冲出生会带给系统倍周期分支、混沌以及在混沌带中出现周期窗口等复杂的动力学行为．
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| 关 键 词： | Leslie-Gower 捕食者-食饵模型 脉冲出生 灭绝 持续生存 混沌 |
Dynamic Behaviors of a Leslie-Gower Predator-Prey Model with Birth Pulse |
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| LIU Kai-yuan.Dynamic Behaviors of a Leslie-Gower Predator-Prey Model with Birth Pulse[J].Journal of Biomathematics,2008,23(3):390-398. |
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| Authors: | LIU Kai-yuan |
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| Institution: | LIU Kai-yuan (1 Department of Applied Mathematics. Dalian University of Tech.nology, Dalian Liaoning 116024 China;2 Department of Mathematics. Anshan Normal University, Anshan Liaoning 114007 China) |
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| Abstract: | A Leslie-Gower predator-prey model with birth pulse is investigated. By the stroboscopic map,we obtain an exact periodic solution of the system which has Ricker function or Beverton-Holt function.Further,by Floquet theorem and comparison theorem,we discuss the extinction and permanence of the system.Finally,by numeri- cally analyzing the bifurcation diagrams with bifurcation parameter b(or p),we know birth pulse brings the system complexly dynamic behaviors including period-doubling route,chaos and periodic windows within the chaotic region. |
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| Keywords: | Leslie-Gower predator-prey model Birth pulse Extinction Permanence Chaos |
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